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1427434680 = 2335723141191
BaseRepresentation
bin101010100010100…
…1110110010111000
310200110222012021010
41111011032302320
510410410402210
6353350513520
750241665100
oct12505166270
93613865233
101427434680
11672827891
1233a0658a0
13199965c09
14d7814200
15854b3920
hex5514ecb8

1427434680 has 384 divisors, whose sum is σ = 5295144960. Its totient is φ = 306432000.

The previous prime is 1427434669. The next prime is 1427434681. The reversal of 1427434680 is 864347241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427434681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7473385 + ... + 7473575.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 21427434680 is an apocalyptic number.

1427434680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480).

1427434680 is an abundant number, since it is smaller than the sum of its proper divisors (3867710280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1427434680 is a wasteful number, since it uses less digits than its factorization.

1427434680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 1427434680 is about 37781.4065381372. The cubic root of 1427434680 is about 1125.9490736842.

The spelling of 1427434680 in words is "one billion, four hundred twenty-seven million, four hundred thirty-four thousand, six hundred eighty".